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URL: https://oeis.org/A041271

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A041271
Denominators of continued fraction convergents to sqrt(148).
2
1, 6, 145, 876, 21169, 127890, 3090529, 18671064, 451196065, 2725847454, 65871534961, 397955057220, 9616792908241, 58098712506666, 1403985893068225, 8482014070916016, 204972323595052609, 1238315955641231670, 29924555258984612689, 180785647509548907804
OFFSET
0,2
FORMULA
From Vincenzo Librandi, Dec 14 2013: (Start)
a(n) = (1 + 6*x - x^2)/(x^4 - 146*x^2 + 1).
a(n) = 146*a(n-2) - a(n-4). (End)
MATHEMATICA
Denominator[Convergents[Sqrt[148], 30]] (* or *) CoefficientList[Series[(1 + 6 x - x^2)/(x^4 - 146 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 14 2013 *)
PROG
(Magma) I:=[1, 6, 145, 876]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 14 2013
CROSSREFS
Cf. A041270.
Sequence in context: A133460 A166953 A280847 * A196964 A121473 A166837
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Vincenzo Librandi, Dec 14 2013
STATUS
approved